#Table of Fig.21 of the paper #1st column: U #2nd column: numerator: p in alpha/(2\pi)\approx p/89 #3rd column: alpha/(2\pi) #4th column: iteration time #5th column: ipr with center #6th column: variance length: <(x-x_0)^2>^{1/2} with center #7th column: ipr without 20% centerbox #8th column: variance length: <(x-x_0)^2>^{1/2} without 20% centerbox #9th column: of tail state #10th column: energy variance of tail state #11th column: norm of tail state = probability to propagate outside 60% centerbox # #tail state = projection of time evolution state on part outside 60% centerbox # # #10 cases with largest value of tail norm in column 11: 1 2 3 4 5 6 7 8 9 10 11 ==================================================================================================================================== 9.5 53 0.59556444341971870 5120 6.5062261 34.89197 69.091098 109.31041 4.6657951 0.39133718 0.12518503 4.25 55 0.61803398874989490 5120 5.4052359 27.227559 147.1184 166.22747 -3.0903383 0.24643226 0.12183836 2.5 62 0.69657303511934621 5120 13.069409 37.335797 55.511867 95.931705 -4.4550493 0.25451471 0.11370584 4.5 55 0.61803398874989490 5120 4.7203726 26.269628 167.68454 177.68764 -3.0634404 0.24878689 0.11221366 3.25 60 0.67409816832919356 5120 12.907052 24.520964 101.4253 172.12984 -3.9968023 0.19062943 0.11057685 2.75 61 0.68533651261934725 5120 18.840744 37.26639 61.310373 101.32933 -4.2773796 0.15448319 0.10668341 3.25 70 0.78656815848624118 5120 8.4574381 33.007888 116.05432 119.0031 -1.6123837 0.14083527 0.092262151 8.75 45 0.50566661696810311 5120 10.294694 29.075739 53.943601 90.764605 -1.0138508 0.32510485 0.091705319 1.75 62 0.69657303511934621 5120 5.5700908 22.663942 134.65632 157.22777 -1.7963066 0.11244734 0.090928005 8.5 45 0.50566661696810311 5120 5.8345263 28.2086 65.269286 91.863641 -1.0342347 0.40222183 0.088562674 10 cases with largest value of ipr without 20% centerbox in column 7: 1 2 3 4 5 6 7 8 9 10 11 ==================================================================================================================================== 4.5 67 0.75285805299333963 5120 1.4129035 5.353405 188.68178 126.54347 -0.68735504 0.073635394 0.020134729 5.0 58 0.65163188999079680 5120 1.1957836 4.8580337 186.44159 159.75394 -3.3788435 0.34402361 0.019709816 4.25 66 0.74151741155165274 5120 1.5262212 2.6174743 170.83984 170.29389 -0.70996739 0.075301045 0.0090780369 4.5 55 0.61803398874989490 5120 4.7203726 26.269628 167.68454 177.68764 -3.0634404 0.24878689 0.11221366 4.75 58 0.65163188999079680 5120 1.2229186 4.628469 158.19623 162.92687 -3.4507645 0.28874972 0.018216261 4.75 57 0.64050345591194557 5120 1.1775096 4.0964571 157.8815 135.45326 -3.3777622 0.28136021 0.015823634 5.0 67 0.75285805299333963 5120 1.5426018 4.5942856 153.50919 103.27767 -0.59084406 0.11473548 0.014885777 4.25 55 0.61803398874989490 5120 5.4052359 27.227559 147.1184 166.22747 -3.0903383 0.24643226 0.12183836 10.0 44 0.49433338303189689 5120 1.3171377 12.238872 141.7844 104.66571 -0.81525721 0.36674445 0.039144114 10.0 45 0.50566661696810311 5120 16.864905 23.777277 141.60919 111.65998 -0.81701924 0.42728527 0.075968008 all data: 1 2 3 4 5 6 7 8 9 10 11 ==================================================================================================================================== 0.0 44 0.49433338303189689 5120 31.29751 20.760634 3.0015548 1.2900631 -2.541481 4.3347456 1.8338935e-13 0.0 45 0.50566661696810311 5120 17.759425 11.351607 8.5104827 3.4126066 -4.4042778 5.7835487 3.3894911e-13 0.0 46 0.51679885572988216 5120 12.051488 6.1785532 4.8017075 26.302166 -3.9620147 5.6968862 2.1497495e-13 0.0 47 0.52814692149050602 5120 5.4995701 3.6125927 5.1797943 31.383026 -1.5899925 2.6511009 7.8654749e-13 0.0 48 0.53937691405309596 5120 6.7674551 3.7035937 4.4215159 10.742277 1.2956931 4.4175401 1.7954788e-13 0.0 49 0.55061454747106675 5120 2.9898361 2.3232177 2.5298671 37.880257 4.6435492 5.265837 3.7294817e-13 0.0 50 0.56174597541325222 5120 4.2250598 3.0951503 1.3929408 16.88733 2.2784557 5.9540936 1.4239244e-13 0.0 51 0.57308342337506146 5120 8.4784074 6.3296374 3.1750055 4.0277608 0.79300721 5.6699608 1.0227361e-13 0.0 52 0.58432050319095863 5120 2.3606086 2.2047823 2.8929718 10.859919 -0.89567828 8.1912916 6.6910157e-14 0.0 53 0.59556444341971870 5120 9.152595 7.0403606 2.5576836 35.306755 -4.1452461 5.6506649 1.6091136e-13 0.0 54 0.60668676484031725 5120 5.2218325 3.3278317 5.9573848 53.295404 -4.26981 4.3039374 2.5923788e-13 0.0 55 0.61803398874989490 5120 2.7030489 1.6094738 4.6348366 41.272361 -2.1707858 4.2047646 1.6066285e-13 0.0 56 0.62915894100537817 5120 4.497446 3.3414392 3.6744012 47.641726 0.94134678 8.4904141 8.0061336e-14 0.0 57 0.64050345591194557 5120 3.7334541 2.7718138 3.7786231 51.497908 4.7887972 4.3767904 1.9727177e-13 0.0 58 0.65163188999079680 5120 7.2301907 6.6575853 4.9662872 37.04894 3.0840271 8.7617122 9.733506e-14 0.0 59 0.66287249740338761 5120 26.671228 11.21517 5.6794844 2.6067031 1.327913 4.7553274 2.4426776e-13 0.0 60 0.67409816832919356 5120 12.001438 5.092748 3.3326708 32.261326 -2.0467005 4.5916162 5.4647374e-13 0.0 61 0.68533651261934725 5120 4.1062697 3.7347517 4.9646473 44.802032 -4.505872 5.0506569 3.1437131e-13 0.0 62 0.69657303511934621 5120 4.9288904 5.2676746 3.4252093 18.078181 -3.2232464 9.7622602 8.6647121e-14 0.0 63 0.70781140928135466 5120 3.7787455 2.3743834 2.1597462 13.924331 -0.48390247 9.3533301 6.9167318e-14 0.0 64 0.71915702247194535 5120 6.8924085 3.8837653 6.6140824 52.891417 1.5078753 4.6356823 1.7981246e-13 0.0 65 0.73028279999320234 5120 4.7220565 2.5055887 2.5386762 24.82764 3.6720869 9.1571838 9.6820265e-14 0.0 66 0.74151741155165274 5120 3.0006318 3.1611784 3.637053 53.070226 3.221151 8.5517449 1.1385276e-13 0.0 67 0.75285805299333963 5120 13.092688 10.72277 1.6921804 19.282053 2.1756228 7.4037514 1.1546794e-13 0.0 68 0.76399292671989916 5120 5.5370569 6.1294876 4.4356209 40.678533 -2.5888139 7.7836022 1.1107692e-13 0.0 69 0.77533911474439166 5120 2.1295969 2.254224 11.067716 55.544375 -4.8456864 3.1463877 3.6962936e-13 0.0 70 0.78656815848624118 5120 6.9511545 6.2595644 3.6588169 34.401315 -4.3728104 8.2995627 1.2461695e-13 0.0 71 0.79770352957022383 5120 11.191746 7.4141158 1.4152079 3.6808144 -1.9065306 3.6905101 2.8117466e-13 0.0 72 0.80893576551315782 5120 3.3432767 2.5660597 4.4640094 32.093897 2.3519114 4.9842035 3.1373101e-13 0.0 73 0.82016680330715763 5120 3.9106703 6.0698502 2.5023871 19.291377 4.6235827 7.2571975 1.2198894e-13 0.0 74 0.83141117765361916 5120 9.4991136 9.9837466 2.8059048 50.199608 5.1943913 4.5038601 2.1732077e-13 0.0 75 0.84274913244351823 5120 4.0609357 2.1050823 8.9616162 51.181973 3.9998261 4.3124055 3.6510952e-13 0.0 76 0.85399110333736050 5120 1.8095189 2.2362481 8.0407762 49.850247 -1.1951822 4.5387102 4.117186e-13 0.0 77 0.86522586415747016 5120 5.2449846 3.8251408 4.7901693 54.006264 -4.7356693 4.2073062 3.9135253e-13 0.0 78 0.87645443084480257 5120 4.2278653 3.6437706 1.2767377 6.2100509 -6.361362 2.8284991 3.453466e-13 0.0 79 0.88759029004978562 5120 10.793613 5.5798638 4.2337205 4.2064328 -4.2052666 3.7302073 4.4593014e-13 0.0 80 0.89882602018104085 5120 11.846445 5.2669645 2.186927 15.48868 2.7511223 5.1831095 3.0752388e-13 0.0 81 0.91016297081513220 5120 4.6242423 4.5197085 5.0552029 26.586805 4.5764849 4.3787915 6.9970838e-13 0.0 82 0.92140593340428922 5120 6.5769503 6.152568 2.0772156 5.2252804 5.6074181 3.3907695 4.954673e-13 0.0 83 0.93253272977269985 5120 7.5031118 4.0997164 3.1407194 11.041929 3.8448589 3.0253147 6.7334122e-13 0.0 84 0.94376796568442856 5120 14.223275 6.0337544 3.9061004 9.1177124 -2.7095464 3.4452639 7.0625192e-13 0.0 85 0.95510942947896094 5120 10.101957 3.8029301 3.7394982 11.157564 -4.7196063 3.3332362 4.8782588e-13 0.0 86 0.96623678666923540 5120 10.237832 5.3707702 3.8851059 7.6466127 -5.3285601 3.8802455 4.58589e-13 0.0 87 0.97758753780473284 5120 20.034938 9.2595013 14.139651 55.959357 -4.3368537 3.0345454 4.4699587e-13 0.0 88 0.98871561515202477 5120 50.294879 27.834267 2.3361978 18.031664 1.7040437 4.7332228 2.5835164e-13 0.25 44 0.49433338303189689 5120 54.975175 23.270235 33.978853 84.661256 0.095566733 0.13556613 0.034430066 0.25 45 0.50566661696810311 5120 38.724226 20.741268 41.697575 96.777097 0.077363756 0.23807122 0.04381602 0.25 46 0.51679885572988216 5120 15.829883 7.7899834 39.229585 63.747151 0.15370756 0.44520209 0.00077366374 0.25 47 0.52814692149050602 5120 8.3427896 4.144572 6.5998661 42.659623 0.89799942 3.5114038 1.5361476e-13 0.25 48 0.53937691405309596 5120 6.703302 3.6203233 2.9468282 29.497274 1.6930868 2.6208353 1.8763885e-13 0.25 49 0.55061454747106675 5120 2.8801058 2.1667901 3.1698077 40.119419 1.5054248 8.6381249 7.9733962e-14 0.25 50 0.56174597541325222 5120 3.9069517 3.6160557 5.5920703 48.146092 2.7104819 7.6264192 9.368305e-14 0.25 51 0.57308342337506146 5120 10.687488 12.292204 7.7063485 28.407232 -0.21646776 1.3430998 0.00030334427 0.25 52 0.58432050319095863 5120 4.4955474 4.620525 3.9806657 25.519531 1.9942241 0.90869378 5.9498581e-11 0.25 53 0.59556444341971870 5120 5.953376 6.0544776 24.107666 61.442846 2.1932224 0.079221178 3.5662483e-06 0.25 54 0.60668676484031725 5120 7.9774535 4.410909 11.501494 36.803911 -2.0731265 0.16179557 0.0001578495 0.25 55 0.61803398874989490 5120 4.4176382 3.3749378 8.5429131 48.761896 0.25835434 6.0688602 1.3515588e-13 0.25 56 0.62915894100537817 5120 5.2526077 3.5834029 5.3556991 40.71892 0.78955348 7.4892375 8.5464586e-14 0.25 57 0.64050345591194557 5120 3.567254 3.8703553 4.0270132 52.231113 -1.7845124 2.8875613 5.8774949e-13 0.25 58 0.65163188999079680 5120 4.2972396 4.8164495 5.9537151 44.421739 -2.4125209 0.35532228 8.5656783e-10 0.25 59 0.66287249740338761 5120 38.656984 15.903695 47.736666 68.099149 0.047251457 7.0980327 0.0031101061 0.25 60 0.67409816832919356 5120 16.955255 7.3148025 4.6700269 28.594722 -2.3358017 1.4708412 1.0969807e-08 0.25 61 0.68533651261934725 5120 8.8954987 4.8648809 6.0144562 24.206898 -3.0398106 5.8017898 1.4833178e-13 0.25 62 0.69657303511934621 5120 4.1340865 3.838981 6.2986663 47.373619 -1.9655703 7.1987841 1.0523931e-13 0.25 63 0.70781140928135466 5120 7.3165026 3.5287649 2.1904229 46.965973 -1.0533898 9.421312 6.927751e-14 0.25 64 0.71915702247194535 5120 8.1902352 4.149551 4.481604 28.780078 -3.5265085 0.16826658 3.0405287e-11 0.25 65 0.73028279999320234 5120 2.5458971 2.3698142 8.7835604 50.778481 2.4571471 6.0890218 8.3711932e-14 0.25 66 0.74151741155165274 5120 4.1338724 6.8259864 8.0341042 9.5297013 -0.44715095 14.346528 2.5421514e-12 0.25 67 0.75285805299333963 5120 33.841468 15.81119 35.00019 58.219348 0.034625664 0.18522528 0.0057472762 0.25 68 0.76399292671989916 5120 6.4365559 4.2146862 10.662343 49.397899 -0.79847829 6.1810906 9.9531015e-14 0.25 69 0.77533911474439166 5120 3.2373103 3.0675789 7.6548427 32.173499 -0.58978454 2.6492909 1.4670853e-12 0.25 70 0.78656815848624118 5120 4.6546029 6.5077437 2.4478833 25.252581 -3.0720629 5.7267598 1.1627927e-13 0.25 71 0.79770352957022383 5120 25.359715 11.539642 18.091322 37.71546 -1.6295371 0.9656806 0.003264005 0.25 72 0.80893576551315782 5120 7.4676298 3.4954085 2.4937183 8.8377611 1.2268191 4.9150402 1.1328656e-13 0.25 73 0.82016680330715763 5120 3.8112328 3.1325419 6.1711389 27.376995 2.0136264 6.7736744 7.5136016e-14 0.25 74 0.83141117765361916 5120 4.5691521 4.912511 28.12448 60.174661 0.11159414 0.41613885 8.8796449e-05 0.25 75 0.84274913244351823 5120 7.6373467 5.2489019 6.0160271 42.966989 3.0605608 5.9503776 1.3936806e-13 0.25 76 0.85399110333736050 5120 9.4364835 3.7506668 6.8135378 46.317131 -0.1281062 4.104861 1.3905726e-13 0.25 77 0.86522586415747016 5120 4.5476279 2.304089 2.6243986 6.2065002 -1.9320009 6.8547197 8.9058911e-14 0.25 78 0.87645443084480257 5120 3.4631433 4.6859905 5.5373183 33.784937 0.063030167 0.044243003 6.5530314e-07 0.25 79 0.88759029004978562 5120 8.6890714 5.0292132 10.126284 47.614316 -0.64456601 3.5939969 1.371769e-13 0.25 80 0.89882602018104085 5120 13.301334 6.0094694 7.708243 52.763822 -0.23717286 1.1060031 3.0226547e-12 0.25 81 0.91016297081513220 5120 7.290679 3.3687093 4.4242345 34.042368 1.9823739 5.1561509 1.142702e-13 0.25 82 0.92140593340428922 5120 6.7248477 2.7205711 8.5643958 45.680591 3.5407123 6.3606811 1.0456352e-13 0.25 83 0.93253272977269985 5120 11.67344 4.4845811 4.0502918 5.6932353 3.922911 2.2265924 2.579744e-13 0.25 84 0.94376796568442856 5120 16.689856 5.576192 8.8158423 53.797983 0.41007113 4.7904195 1.3806975e-13 0.25 85 0.95510942947896094 5120 13.98099 4.5248941 14.13617 55.396493 -1.8333274 9.4404832 7.9670802e-14 0.25 86 0.96623678666923540 5120 16.471582 5.3361521 6.3962042 52.698757 -2.2786885 7.303354 1.0736976e-13 0.25 87 0.97758753780473284 5120 33.745207 10.455567 3.409538 8.382975 -1.8376865 2.591613 1.7120546e-13 0.25 88 0.98871561515202477 5120 86.178597 26.201733 11.868272 55.037658 -0.084678946 4.5484976 2.3835031e-10 0.5 44 0.49433338303189689 5120 52.926103 24.635066 66.544248 88.102167 0.1646095 0.18736748 0.043624002 0.5 45 0.50566661696810311 5120 33.359977 22.241469 21.013575 73.925433 0.16062315 0.19731281 0.036987788 0.5 46 0.51679885572988216 5120 22.664701 9.474365 46.568569 74.724593 0.30330684 0.27438331 0.00830934 0.5 47 0.52814692149050602 5120 10.01477 4.435812 9.5489416 13.788265 -0.15958778 0.83746951 2.5367677e-08 0.5 48 0.53937691405309596 5120 7.2922138 3.9983319 6.0155862 7.8433303 -1.4547089 2.3455337 5.6921828e-11 0.5 49 0.55061454747106675 5120 2.4721311 1.645265 4.1380909 14.409618 1.1799893 6.83387 8.3978224e-14 0.5 50 0.56174597541325222 5120 3.8730965 2.7063919 1.6995797 7.4602523 1.4546029 7.981478 7.6930431e-14 0.5 51 0.57308342337506146 5120 4.6597721 6.9739822 24.588761 61.163523 4.3007719 0.34112415 0.00054705532 0.5 52 0.58432050319095863 5120 3.6219983 2.4255838 5.9519901 26.347314 1.9218964 5.4281994 5.3677227e-11 0.5 53 0.59556444341971870 5120 10.238349 8.5900588 5.814789 37.226444 -4.7682137 0.16210841 1.9491376e-07 0.5 54 0.60668676484031725 5120 8.2287298 4.4921523 6.3778722 45.615896 -4.6347037 0.71583582 3.5505737e-10 0.5 55 0.61803398874989490 5120 5.2761134 4.9607182 10.633219 36.241847 -2.0746541 0.42848946 1.8176079e-10 0.5 56 0.62915894100537817 5120 5.3798178 3.816007 3.6766228 28.886302 -2.3449461 1.788606 4.2009484e-13 0.5 57 0.64050345591194557 5120 3.1343512 2.4589403 5.7053073 17.013238 -2.271835 0.1140076 9.4023355e-11 0.5 58 0.65163188999079680 5120 4.0444266 5.5628152 19.413427 52.359186 -2.4146859 0.17929358 8.5555897e-05 0.5 59 0.66287249740338761 5120 38.594276 16.861734 55.82577 73.667054 -1.1862687 5.0375893 0.015488046 0.5 60 0.67409816832919356 5120 20.156335 14.288989 14.412688 26.546892 -2.509099 0.15308396 0.0091771973 0.5 61 0.68533651261934725 5120 4.8198748 4.1196284 7.533462 54.195529 -3.1406328 6.5841661 1.3447885e-13 0.5 62 0.69657303511934621 5120 6.2341096 6.3543907 4.7995034 11.489086 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